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3455869000 = 235311293061
BaseRepresentation
bin1100110111111100…
…0110000001001000
322220211211100001011
43031333012001020
524034200302000
61330531133304
7151432254553
oct31577060110
98824740034
103455869000
111513825591
12805444234
13430c876cc
1424ad9169a
151535e12ba
hexcdfc6048

3455869000 has 64 divisors (see below), whose sum is σ = 8096540400. Its totient is φ = 1380672000.

The previous prime is 3455868991. The next prime is 3455869007. The reversal of 3455869000 is 9685543.

It can be written as a sum of positive squares in 8 ways, for example, as 163175076 + 3292693924 = 12774^2 + 57382^2 .

It is a super-2 number, since 2×34558690002 = 23886061090322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3455869007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1127470 + ... + 1130530.

Almost surely, 23455869000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455869000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048270200).

3455869000 is an abundant number, since it is smaller than the sum of its proper divisors (4640671400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3455869000 is a wasteful number, since it uses less digits than its factorization.

3455869000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 3455869000 is about 58786.6396386118. The cubic root of 3455869000 is about 1511.8861566629.

The spelling of 3455869000 in words is "three billion, four hundred fifty-five million, eight hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1129 2258 3061 4516 5645 6122 9032 11290 12244 15305 22580 24488 28225 30610 45160 56450 61220 76525 112900 122440 141125 153050 225800 282250 306100 382625 564500 612200 765250 1129000 1530500 3061000 3455869 6911738 13823476 17279345 27646952 34558690 69117380 86396725 138234760 172793450 345586900 431983625 691173800 863967250 1727934500 3455869000